Result: Spectral Properties with the Difference between Topological Indices in Graphs
Title:
Spectral Properties with the Difference between Topological Indices in Graphs
Source:
Journal of Mathematics, Vol 2020 (2020)
Publisher Information:
Wiley, 2020.
Publication Year:
2020
Subject Terms:
Artificial intelligence, 0209 industrial biotechnology, Graph Spectra, Graph Spectra and Topological Indices, 02 engineering and technology, Graph Labeling, 16. Peace & justice, Computer science, 01 natural sciences, 0104 chemical sciences, Algorithm, Computational Theory and Mathematics, 13. Climate action, Graph Theory, Physical Sciences, Computer Science, QA1-939, FOS: Mathematics, Geometry and Topology, Graph Labeling and Dimension Problems, Mathematics, Graph Theory and Algorithms
Document Type:
Academic journal
Article<br />Other literature type
File Description:
text/xhtml
Language:
English
ISSN:
2314-4785
2314-4629
2314-4629
DOI:
10.1155/2020/6973078
DOI:
10.60692/hyg8m-fp872
DOI:
10.60692/hfw4x-7mb77
Access URL:
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....04d46ea397d24215a98c9b9fc9a01f58
Database:
OpenAIRE
Further Information
Let G be a graph of order n with vertices labeled as v1,v2,…,vn. Let di be the degree of the vertex vi, for i=1,2,…,n. The difference adjacency matrix of G is the square matrix of order n whose i,j entry is equal to di+dj−2−1/didj if the vertices vi and vj of G are adjacent or vivj∈EG and zero otherwise. Since this index is related to the degree of the vertices of the graph, our main tool will be an appropriate matrix, that is, a modification of the classical adjacency matrix involving the degrees of the vertices. In this paper, some properties of its characteristic polynomial are studied. We also investigate the difference energy of a graph. In addition, we establish some upper and lower bounds for this new energy of graph.